Question

A 4-pound bag of sugar contains 454 one teaspoon servings and costs $3 49, A batch of muffins uses 3/4 cup of sugar. How many batches can you make if you use all the sugar? What is the cost of sugar for each?

Answer 1

All the sugar used `-> 12.77" batches"`

Cost of sugar for each batch is `~~($3.49)-:12.77~~ $0.273`

Explanation:

Let the count of full batches using `3/4` cup be `B`

`color(blue)("Information from question")`

Sugar`->4 lb ->454 " teaspoons" ->$3.49`

1 full cooking batch uses `3/4` cup of sugar
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

`color(brown)("Using the units of measurements to indicate the method of calculation")`

`color(blue)("Method ")`
batches cooked = total teaspoons available `-:` teaspoons in `3/4` cup

batches cooked = total teaspoons " `-: (3/4" cup"xx ("teaspoons")/("cup"))`

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(blue)("Step 1: Determine the count of teaspoons in 1 cup.")`

1 teaspoon = 5 ml

1 cup = 237 ml

teaspoon count per cup is how many lots of 5ml will fit into 237 ml

`->237-:5 = 237/5 ("teaspoons")/("cup")`
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(blue)("Step 2: Completing the calculation by substituting values")`

batches cooked = total teaspoons `-: (3/4" cup"xx ("teaspoons")/("cup"))`

`"full batches cooked" =B=454-:(3/4xx237/5)`

`B=454-:711/20`

`B= 12 548/711 = 9080/711~~12.77" "` to 2 decimal places

All the sugar used `-> 12.77" batches"`

Cost of sugar for each batch is `~~($3.49)-:12.77~~ $0.273`